11 citations · 12 across the 2 of their papers we have counts for
2 papers
math.CO2005★ 1 cited
Colourful Simplicial Depth
Antoine Deza, Sui Huang, Tamon Stephen +1
Inspired by Barany's colourful Caratheodory theorem, we introduce a colourful generalization of Liu's simplicial depth. We prove a parity property and conjecture that the minimum c…
math.MG2003★ 11 cited
The isometries of the cut, metric and hypermetric cones
Antoine Deza, Boris Goldengorin, Dmitrii V. Pasechnik
We show that the symmetry groups of the cut cone Cut(n) and the metric cone Met(n) both consist of the isometries induced by the permutations on {1,...,n}; that is, Is(Cut(n))=Is(M…